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hyperperfect n.  and  super-d n.

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First numbers that belong to both sets:

10693, 306181, 808861, 1005649, 1055833, 1063141, 2462881, 2488201, 2768581, 2856481, 3328921, 4013833, 4312681, 4658449, 7152001, 9699181.